IDEAS home Printed from https://ideas.repec.org/p/pav/demwpp/demwp0075.html
   My bibliography  Save this paper

Some Extensions of the class of K-matrices: A Survey and Some Economic Applications

Author

Listed:
  • Giorgio Giorgi

    (Department of Economics and Management, University of Pavia)

  • Cesare Zuccotti

    (Department of Economics and Management, University of Pavia)

Abstract

In this paper we take in to considerations some classes of matrices which are generalizations of the class of K-matrices, in the terminology of Fielder and Ptàk (1962). We study the hierarchy and inclusion relations between the classes considered and we point out some economic applications

Suggested Citation

  • Giorgio Giorgi & Cesare Zuccotti, 2014. "Some Extensions of the class of K-matrices: A Survey and Some Economic Applications," DEM Working Papers Series 075, University of Pavia, Department of Economics and Management.
    • Handle: RePEc:pav:demwpp:demwp0075
    as

    Download full text from publisher

    File URL: http://dem-web.unipv.it/web/docs/dipeco/quad/ps/RePEc/pav/demwpp/DEMWP0075.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pearce, Ivor F., 1974. "Matrices with dominating diagonal blocks," Journal of Economic Theory, Elsevier, vol. 9(2), pages 159-170, October.
    2. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, January.
    3. Okuguchi, Koji, 1978. "Matrices with dominant diagonal blocks and economic theory," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 43-52, March.
    4. Wolfgang F. Stolper & Paul A. Samuelson, 1941. "Protection and Real Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 58-73.
    5. Murata, Yasuo, 1977. "Mathematics for Stability and Optimization of Economic Systems," Elsevier Monographs, Elsevier, edition 1, number 9780125112505 edited by Shell, Karl.
    6. Chipman, John S, 1969. "Factor Price Equalization and the Stolper-Samuelson Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 399-406, October.
    7. Uekawa, Yasuo & Kemp, Murray C. & Wegge, Leon L., 1973. "P- and PN-matrices, Minkowski- and Metzler- matrices, and generalizations of the Stolper- Samuelson and Samuelson-Rybczynski theorems," Journal of International Economics, Elsevier, vol. 3(1), pages 53-76, February.
    8. Peris, Josep E & Villar, Antonio, 1993. "Linear Joint-Production Models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 735-742, October.
    9. Inada, Ken-ichi, 1971. "The Production Coefficient Matrix and the Stolper-Samuelson Condition," Econometrica, Econometric Society, vol. 39(2), pages 219-239, March.
    10. De Giuli, M.E., Magnani, U. & Moglia, P., 1994. "Some remarks on matrices with dominant diagonal," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 5(2), pages 141-151.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Giorgio Giorgi, 2022. "Nonsingular M-matrices: a Tour in the Various Characterizations and in Some Related Classes," DEM Working Papers Series 206, University of Pavia, Department of Economics and Management.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Giorgio Giorgi, 2022. "Nonsingular M-matrices: a Tour in the Various Characterizations and in Some Related Classes," DEM Working Papers Series 206, University of Pavia, Department of Economics and Management.
    2. Kurose, Kazuhiro & Yoshihara, Naoki, 2016. "The Heckscher-Ohlin-Samuelson Model and the Cambridge Capital Controversies," UMASS Amherst Economics Working Papers 2016-05, University of Massachusetts Amherst, Department of Economics.
    3. Geoffrey Fishburn & Murray C. Kemp, 1977. "An Analysis of Price:Rental and Endowment:Output Relationships in Terms of Specific‐Factor and Specific‐Product Blocks," The Economic Record, The Economic Society of Australia, vol. 53(2), pages 219-226, June.
    4. Kazuhiro Kurose & Naoki Yoshihara, 2018. "The Heckscher—Ohlin—Samuelson Trade Theory and the Cambridge Capital Controversies: On the Validity of Factor Price Equalisation Theorem," Working Papers SDES-2018-17, Kochi University of Technology, School of Economics and Management, revised Nov 2018.
    5. Ronald W. Jones, 2010. "Share ribs redux," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 127-135, March.
    6. Kurose, Kazuhiro & Yoshihara, Naoki, 2018. "The Heckscher—Ohlin—Samuelson Trade Theory and the Cambridge Capital Controversies: On the Validity of Factor Price Equalisation Theorem," Discussion Paper Series 686, Institute of Economic Research, Hitotsubashi University.
    7. Dubra, Juan & Echenique, Federico & Manelli, Alejandro M., 2009. "English auctions and the Stolper-Samuelson theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 825-849, March.
    8. Polterovich, Victor & Spivak, Vladimir, 1982. "Отображения С Валовой Заменимостью В Теории Экономического Равновесия [Gross Substitutability Mappings in Economic Equilibrium Theory]," MPRA Paper 21814, University Library of Munich, Germany.
    9. Lloyd, P. J. & Schweinberger, A. G., 1997. "Conflict generating product price changes: The imputed output approach," European Economic Review, Elsevier, vol. 41(8), pages 1569-1587, August.
    10. Nieuwenhuis, Herman J. & Schoonbeek, Lambert, 1997. "Stability and the structure of continuous-time economic models," Economic Modelling, Elsevier, vol. 14(3), pages 311-340, July.
    11. Naoko Shinkai, 2000. "Does the Stopler-Samuelson Theorem Explain the Movement in Wages? The Linkage Between Trade and Wages in Latin American Countries," Research Department Publications 4237, Inter-American Development Bank, Research Department.
    12. Harutaka Takahashi, 2021. "Toward a Theory of the Labor Share’s Fall: A Dynamic Model of the 'Superstar’ Firm," Discussion Papers 2127, Graduate School of Economics, Kobe University.
    13. Naoko Shinkai, 2000. "¿Explica el teorema Stopler-Samuelson el desplazamiento de los salarios? El vínculo entre el comercio internacional y los salarios en países latinoamericanos," Research Department Publications 4238, Inter-American Development Bank, Research Department.
    14. Giorgio Giorgi, 2019. "Nonnegative Square Matrices: Irreducibility, Reducibility, Primitivity and Some Economic Applications," DEM Working Papers Series 175, University of Pavia, Department of Economics and Management.
    15. Pierre Ouellette & Stéphane Vigeant, 2000. "A General Procedure to Recover the Marginal Products of a Cost Minimizing Firm," Journal of Productivity Analysis, Springer, vol. 14(2), pages 143-162, September.
    16. Leslie Young & James A. Bennett, 1999. "International Stock Market Equilibrium with Heterogenous Tastes," American Economic Review, American Economic Association, vol. 89(3), pages 639-648, June.
    17. Dani Rodrik, 2018. "Populism and the economics of globalization," Journal of International Business Policy, Palgrave Macmillan, vol. 1(1), pages 12-33, June.
    18. M. Magnani, 2009. "Labor share dynamics: a survey of the theory," Economics Department Working Papers 2009-EP07, Department of Economics, Parma University (Italy).
    19. Maćkowiak, Piotr, 2009. "Adaptive Rolling Plans Are Good," MPRA Paper 42043, University Library of Munich, Germany.
    20. Sah, Raaj, 2000. "Some results for the comparative statics of steady states of higher-order discrete dynamic systems," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1481-1489, September.

    More about this item

    Keywords

    K-matrices; M-matrices; S-matrices; P-matrices; dominant diagonal matrices; stabiliy matrices; linear economic models.;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pav:demwpp:demwp0075. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alice Albonico (email available below). General contact details of provider: https://edirc.repec.org/data/dppavit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.